What is the Greatest Common Factor of 34040 and 34059?

Greatest common factor (GCF) of 34040 and 34059 is 1.

GCF(34040,34059) = 1

We will now calculate the prime factors of 34040 and 34059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34040 and 34059.

How to find the GCF of 34040 and 34059?

We will first find the prime factorization of 34040 and 34059. After we will calculate the factors of 34040 and 34059 and find the biggest common factor number .

Step-1: Prime Factorization of 34040

Prime factors of 34040 are 2, 5, 23, 37. Prime factorization of 34040 in exponential form is:

34040 = 2³ × 5¹ × 23¹ × 37¹

Step-2: Prime Factorization of 34059

Prime factors of 34059 are 3, 11353. Prime factorization of 34059 in exponential form is:

34059 = 3¹ × 11353¹

Step-3: Factors of 34040

List of positive integer factors of 34040 that divides 34040 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 37, 40, 46, 74, 92, 115, 148, 184, 185, 230, 296, 370, 460, 740, 851, 920, 1480, 1702, 3404, 4255, 6808, 8510, 17020

Step-4: Factors of 34059

List of positive integer factors of 34059 that divides 34040 without a remainder.

1, 3, 11353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34040 and 34059. The biggest common factor number is the GCF number.
So the greatest common factor 34040 and 34059 is 1.

Also check out the Least Common Multiple of 34040 and 34059